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Finding the Third Proportional to 72,812,145 and 156,429,973

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Solution

The third proportional to 72,812,145 and 156,429,973 is: 336,074,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,812,145 : 156,429,973 = 156,429,973 : x
  2. Step 2: Convert to fraction form
    72,812,145/156,429,973 = 156,429,973/x
  3. Step 3: Cross multiply
    72,812,145x = 156,429,973 × 156,429,973
  4. Step 4: Simplify right side
    72,812,145x = 24,470,336,452,780,728
  5. Step 5: Solve for x
    x = 24,470,336,452,780,728/72,812,145
  6. Step 6: Final answer
    x = 336,074,928.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.